Published 1983 | Version v1
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''Collapse onto scattering centre'' in quasipotential theory

Description

Quasipotential equation for the wave function in the impulse representation is investigated for the case of singular attractive potential U(r)=-lambda r-2. It is shown, that discrete energy spectrum in the nonrelativistic limit do not depend on an arbitrary constant and there appears no collapse onto scattering centre. These results are a consequence of self-adjointness of quasipotential operator in the impulse representation (''deficiency-index'' n=0) in the comparison with Lippmann-Schwinger operator (''deficiency-index'' n=1)

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MF available from INIS under the Report Number.

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Additional details

Additional titles

Original title (Russian)
Падение на центр в квазипотенциальной теории

Publishing Information

Imprint Pagination
14 p.
Report number
JINR-R--2-83-352

Optional Information

Notes
22 refs.; submitted to the journal Theor. Math. Phys.